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Finding the Fourth Proportional to 630.32, 944.07 and 447.16

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Solution

The fourth proportional to 630.32, 944.07 and 447.16 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.32 : 944.07 = 447.16 : x
  2. Step 2: Convert to fraction form
    630.32/944.07 = 447.16/x
  3. Step 3: Cross multiply
    630.32x = 944.07 × 447.16
  4. Step 4: Simplify right side
    630.32x = 422,150.34
  5. Step 5: Solve for x
    x = 422,150.34/630.32
  6. Step 6: Final answer
    x = 669.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.